GCD of 198, 240, 987, 140 Calculator

Given Input numbers are 198, 240, 987, 140

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 198, 240, 987, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 240, 987, 140 is 1.

Therefore, GCD of numbers 198, 240, 987, 140 is 1

Given Input Data is 198, 240, 987, 140

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 140 is 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(198, 240) = 7920

GCD(198, 240) = ( 198 x 240 ) / 7920

GCD(198, 240) = 47520 / 7920

GCD(198, 240) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 987

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 987) = 1974

GCD(6, 987) = ( 6 x 987 ) / 1974

GCD(6, 987) = 5922 / 1974

GCD(6, 987) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 140

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

GCD(3, 140) = 420 / 420

GCD(3, 140) = 1

GCD of 198, 240, 987, 140 is 1

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1. What is the GCD of 198, 240, 987, 140?

GCD of 198, 240, 987, 140 is 1

2. Where do I get the detailed procedure to find GCD of 198, 240, 987, 140?

You can find a detailed procedure to find GCD of 198, 240, 987, 140 on our page.

3. How to find GCD of 198, 240, 987, 140 on a calculator?

You can find the GCD of 198, 240, 987, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.